My top 10 anime & manga

First of all, please excuse my English because it is not one of my native languages.

Special mention to Link Click (airing) & 86 (airing) - maybe they change the top.

10. Higurashi no Naku Koro Ni (full saga)

If we're talking about parallel timelines and worlds, this anime has to be mentioned. It's very interesting to see the stories from different points of view and, as a viewer, gradually learn the motivations behind the characters.

The order to view it, if you're interested, is as follows:
Higurashi no Naku Koro Ni
Higurashi no Naku Koro Ni Kai
Higurashi no Naku Koro Ni Rei [only chapters 2, 3 & 4]
Higurashi no Naku Koro Ni Gou [It started as a remake, but it's a sequel from chapter 2 onwards]
Higurashi no Naku Koro ni Sotsu.

9. Monster

seinen

The way Naoki Urasawa tells the story of Monster is something I haven't seen in a long time. He has other good works like 20th Century Boys, but, for me, Monster is the pinnacle of his art. 
Character development is something I greatly value and appreciate when it's done well and even the secondary characters shine because of how well they're written.

8. Kasane

seinen

In a world where beauty is everything, what would happen if it could be stoled from you? Would you lose your identity?

It's an incredible story with a lot of criticism of beauty. From both sides; being beautiful & being ugly. To this day, I haven't seen anything quite like it.

7. Berserk (depends on the ending)

seinen

Berserk is an incredible manga that will never get the anime adaptation it deserves because Kentaro Miura's (RIP) art can't be captured in anime.

It's a heartbreaking story, and I have my reservations as a woman and because of how some scenes were done, but Guts made me feel, made me suffer, and he's a character I adore and need to see happy.

6. Frieren (depends on the ending)

shonen

Because that's what Ms. Frieren would do

I've rarely felt like I was traveling alongside the characters. Frieren is, quite literally, a journey. Losing someone or something you love and still finding beauty in the things that remind you of them.

5. Madoka Magica (depends on the ending)

seinen

Do you want to fulfill their wish, or do you want to be the person who fulfills their wish?

I'm constantly amazed by the details of this series and the movies. I love how it enters the world of magical girls and tears it apart from within.
It's a must-see.

4. Attack on Titan 

shonen

What a great anime, what a great story, and what a great pace—not a single episode is boring. Incredibly innovative with powerful lessons about the cycle of hate.

3. Death Note

shonen

Justice prevails.  

No matter how many years pass, nothing can erase what Death Note was and what it did.
PD: Naomi deserved better.

2. One Piece

shonen

You might be alone at the moment... But someday... You'll definitely find friends! No one is born in this world to be alone!

The best-told story.
The anime with the best world-building; your favorite character might not even be one of the main ones.

There will never be a better shonen anime for me. I've been watching One Piece since I was little, and it's been with me my whole life. 
I'll never be ready to see them achieve their dreams and go their separate ways.

1. Utena

shojo

In a world where men are princes who save and women are princesses who are saved, can one princess save another princess? And what if you want to save the witch herself?

There will never be another series that critiques absolutely every foundation of society the way Utena did.
As a child, it had a huge impact on me, but I wasn't able to grasp everything the anime teaches us. Its ending is still debated. 
It is undoubtedly a masterpiece.